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Finding the Fourth Proportional to 9,151.03, 13,715.47 and 6,548.50

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Solution

The fourth proportional to 9,151.03, 13,715.47 and 6,548.50 is: 9,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.03 : 13,715.47 = 6,548.50 : x
  2. Step 2: Convert to fraction form
    9,151.03/13,715.47 = 6,548.50/x
  3. Step 3: Cross multiply
    9,151.03x = 13,715.47 × 6,548.50
  4. Step 4: Simplify right side
    9,151.03x = 89,815,755.30
  5. Step 5: Solve for x
    x = 89,815,755.30/9,151.03
  6. Step 6: Final answer
    x = 9,814.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.